how to avoid guessing

[BloodCharms]

i am fairly new to minesweeper, and i am trying to learn how to avoid guessing, because the game says puzzles are solveable without them. i am clearly missing the basics, though.

i am a few puzzles into vanilla, and already wondering how this is possible. for example, [V]5x5-10-7675 has 10 mines and the following: 5 at B3, 2 at B4, 3 at D2, and 2 at E2. if anyone has simple resources that could walk me through deducing the first mines location, maybe something can start to click? i hardly know where to begin

i also just might not be smart enough for this game and thats ok too lol

[Quote]

The 5 clue and the 2 clue next to it share four squares. Any mine in these four squares will contribute to both totals. So the only reason the clues are different is because there are different amounts of mines in the "personal zones" on either side of the clues. In this case, 5 is three more than 2, so the 5 clue must be seeing three more mines in its personal zone than the 2 clue is in its personal zone. The only way this is possible is if all three squares in the 5 clue's personal zone are mines and all three squares in the 2 clue's personal zone are safe.

This works in general: the difference in value between two adjacent clues equals the difference in the amounts of mines in their respective personal zones.

This won't be the only theorem you'll need, but it's a good start once you get a feel for it.

[Perseus]

The lightbulb button near the top-right of the screen is supposed to be a hint button, maybe it could help?

When asking for help for specific puzzles, you can take a screenshot and post it, it makes it easier to understand the situation, especially since it also shows any notes you may have drawn!
In this case, the puzzle looks more or less like this :

□ □ □ □ □
□ □ □ 3 2
□ 5 □ □ □
□ 2 □ □ □
□ □ □ □ □

In this case, the 5-2 pair is the thing that allows progress.
Try to see what would happen if the tile above the 5 was a non-mine.
Alternatively, ask yourself : In what way is the 5 restricted by the 2 next to it?

Solution (explained in my own thought process, which i might be explaining somewhat poorly) :
The 2 being next to the 5 effectively means that the 5 can only have a maximum of two of its mines in the "area" of the 2, meaning that there is a minimum of three mines in the remaining portion of the 5's area.
Since there are only three tiles in the 5's area that are also not in the 2's area, and that there must be three mines in those tiles, then those three tiles must be the three mines.
The opposite is also relevant : There must be at least two of the 5's mines in the upper portion of the 2's area, meaning that all tiles in the remainder of the 2's area must be non-mines.

After these deductions, the board would look like this :
? = Non-mine, X = Mine.

□ □ □ □ □
X X X 3 2
□ 5 □ □ □
□ 2 □ □ □
? ? ? □ □

Lastly, if you want to make guessing almost impossible, you can turn on Expert mode in the settings.